Wall clock time and date at job start Sat Apr 11 2020 06:09:45 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53001 * 1 3 3 H 1.09001 * 109.47506 * 2 1 4 4 O 1.42901 * 109.46795 * 240.00383 * 2 1 3 5 5 C 1.52995 * 109.47274 * 120.00498 * 2 1 3 6 6 C 1.52999 * 109.47267 * 184.07780 * 5 2 1 7 7 H 1.08997 * 109.58397 * 301.81857 * 6 5 2 8 8 C 1.53192 * 109.58867 * 62.10319 * 6 5 2 9 9 C 1.53038 * 109.31337 * 174.41948 * 8 6 5 10 10 C 1.53035 * 109.54270 * 298.63950 * 9 8 6 11 11 C 1.53190 * 109.31297 * 61.36082 * 10 9 8 12 12 N 1.46926 * 109.58620 * 181.39578 * 6 5 2 13 13 C 1.34772 * 120.63358 * 6.61957 * 12 6 5 14 14 O 1.21354 * 120.00085 * 353.31575 * 13 12 6 15 15 C 1.49451 * 120.00441 * 173.30221 * 13 12 6 16 16 O 1.21347 * 119.99859 * 353.38855 * 15 13 12 17 17 N 1.34773 * 120.00326 * 173.38127 * 15 13 12 18 18 C 1.46499 * 119.99938 * 180.02562 * 17 15 13 19 19 C 1.53004 * 109.47032 * 180.02562 * 18 17 15 20 20 C 1.52998 * 109.47053 * 299.99949 * 19 18 17 21 21 C 1.52998 * 109.47259 * 59.99787 * 19 18 17 22 22 C 1.50694 * 109.47177 * 179.97438 * 19 18 17 23 23 H 1.08005 * 120.00398 * 359.52648 * 22 19 18 24 24 C 1.37877 * 119.99961 * 179.52723 * 22 19 18 25 25 N 1.31516 * 120.00306 * 3.07491 * 24 22 19 26 26 Si 1.86802 * 119.99941 * 183.06911 * 24 22 19 27 27 H 1.48500 * 109.46939 * 94.99658 * 26 24 22 28 28 H 1.48502 * 109.47502 * 214.99557 * 26 24 22 29 29 H 1.48504 * 109.47215 * 334.99849 * 26 24 22 30 30 H 1.09001 * 109.47506 * 180.02562 * 1 2 3 31 31 H 1.08998 * 109.46711 * 299.99635 * 1 2 3 32 32 H 1.08994 * 109.47014 * 59.99551 * 1 2 3 33 33 H 0.96703 * 113.99807 * 295.08823 * 4 2 1 34 34 H 1.09001 * 109.47113 * 304.07491 * 5 2 1 35 35 H 1.09005 * 109.47261 * 64.07247 * 5 2 1 36 36 H 1.08995 * 109.49810 * 294.37995 * 8 6 5 37 37 H 1.09002 * 109.49416 * 54.43703 * 8 6 5 38 38 H 1.08999 * 109.45486 * 58.66120 * 9 8 6 39 39 H 1.08998 * 109.45836 * 178.62786 * 9 8 6 40 40 H 1.08998 * 109.49825 * 181.31578 * 10 9 8 41 41 H 1.09006 * 109.49229 * 301.41305 * 10 9 8 42 42 H 1.08996 * 109.58393 * 65.15536 * 11 10 9 43 43 H 1.09006 * 109.58580 * 185.58290 * 11 10 9 44 44 H 0.97000 * 119.99780 * 0.02562 * 17 15 13 45 45 H 1.09005 * 109.46884 * 299.99753 * 18 17 15 46 46 H 1.08997 * 109.47594 * 60.00102 * 18 17 15 47 47 H 1.08996 * 109.47633 * 64.79781 * 20 19 18 48 48 H 1.08998 * 109.47438 * 184.80122 * 20 19 18 49 49 H 1.09008 * 109.46695 * 304.79744 * 20 19 18 50 50 H 1.09002 * 109.47269 * 59.99468 * 21 19 18 51 51 H 1.08996 * 109.47226 * 180.02562 * 21 19 18 52 52 H 1.09005 * 109.47262 * 299.99935 * 21 19 18 53 53 H 0.96991 * 120.00162 * 179.97438 * 25 24 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 1 1.8934 1.0276 0.0000 4 8 2.0063 -0.6736 -1.1668 5 6 2.0400 -0.7213 1.2491 6 6 3.5666 -0.6331 1.3015 7 1 3.9892 -1.0736 0.3985 8 6 3.9930 0.8346 1.4049 9 6 5.5095 0.9088 1.5968 10 6 5.8961 0.2008 2.8973 11 6 5.4913 -1.2742 2.8107 12 7 4.0614 -1.3537 2.4825 13 6 3.2197 -2.0741 3.2499 14 8 2.0248 -2.0354 3.0414 15 6 3.7578 -2.9211 4.3574 16 8 4.9564 -3.0554 4.4910 17 7 2.9120 -3.5355 5.2079 18 6 3.4395 -4.3652 6.2939 19 6 2.2778 -4.9423 7.1054 20 6 1.4490 -3.7987 7.6937 21 6 1.3939 -5.7964 6.1942 22 6 2.8205 -5.7963 8.2221 23 1 3.8871 -5.9218 8.3366 24 6 1.9553 -6.4175 9.0977 25 7 0.6560 -6.3144 8.9226 26 14 2.6288 -7.4059 10.5326 27 1 2.6772 -6.5489 11.7445 28 1 1.7470 -8.5734 10.7869 29 1 3.9977 -7.8810 10.2074 30 1 -0.3634 -1.0276 0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 1.7842 -1.6143 -1.1961 34 1 1.6183 -0.2515 2.1377 35 1 1.7375 -1.7680 1.2133 36 1 3.7158 1.3593 0.4906 37 1 3.4949 1.2990 2.2560 38 1 6.0059 0.4226 0.7571 39 1 5.8185 1.9529 1.6463 40 1 6.9735 0.2743 3.0451 41 1 5.3805 0.6710 3.7347 42 1 6.0729 -1.7676 2.0321 43 1 5.6736 -1.7600 3.7694 44 1 1.9538 -3.4283 5.1009 45 1 4.0296 -5.1803 5.8747 46 1 4.0696 -3.7569 6.9428 47 1 0.9868 -3.2318 6.8857 48 1 0.6730 -4.2078 8.3407 49 1 2.0970 -3.1418 8.2742 50 1 1.9844 -6.6111 5.7749 51 1 0.5661 -6.2071 6.7722 52 1 1.0013 -5.1790 5.3862 53 1 0.0474 -6.7517 9.5383 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC000422488446.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:09:45 Heat of formation + Delta-G solvation = -112.501727 kcal Electronic energy + Delta-G solvation = -31626.967218 eV Core-core repulsion = 27499.126519 eV Total energy + Delta-G solvation = -4127.840700 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -41.13083 -39.16891 -37.77575 -37.39298 -36.50634 -33.63253 -33.03697 -32.79103 -30.93830 -30.67946 -27.60593 -26.26856 -25.75886 -25.37023 -24.76269 -23.81830 -22.29363 -21.36784 -20.80806 -19.65226 -18.80932 -17.53949 -16.90869 -16.33606 -16.12982 -15.99399 -15.72781 -15.42343 -15.03896 -14.80741 -14.62620 -14.29744 -14.17834 -13.80714 -13.65041 -13.56058 -13.17301 -12.99675 -12.96228 -12.73648 -12.30474 -12.22792 -12.16654 -11.84738 -11.62575 -11.43797 -11.23500 -11.21911 -11.19657 -10.96926 -10.90249 -10.81810 -10.71857 -10.44527 -10.23874 -10.21805 -10.02012 -9.69168 -9.44267 -8.88222 -8.80697 -8.62119 -8.58723 -8.39798 -6.05751 -4.16859 1.61215 2.47691 3.25613 3.33443 3.36580 3.39831 3.69077 4.15928 4.35806 4.46228 4.54770 4.67751 4.70498 4.79068 4.87914 4.93551 4.99202 5.15020 5.20730 5.28135 5.37652 5.43290 5.55769 5.59279 5.68709 5.71408 5.76642 5.82043 5.91250 5.97449 6.04863 6.06724 6.12726 6.18101 6.19229 6.43115 6.46246 6.66155 6.81052 6.83922 6.91334 6.96586 7.11764 7.29591 7.42864 7.50668 7.59086 7.66627 7.96069 7.97122 8.09871 8.29483 8.38035 8.83583 9.49328 10.95379 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017339 B = 0.002615 C = 0.002363 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1614.491784 B =10703.301431 C =11848.394212 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.181 4.181 2 C 0.091 3.909 3 H 0.096 0.904 4 O -0.568 6.568 5 C -0.142 4.142 6 C 0.146 3.854 7 H 0.081 0.919 8 C -0.132 4.132 9 C -0.121 4.121 10 C -0.135 4.135 11 C 0.063 3.937 12 N -0.580 5.580 13 C 0.508 3.492 14 O -0.519 6.519 15 C 0.494 3.506 16 O -0.527 6.527 17 N -0.677 5.677 18 C 0.127 3.873 19 C 0.056 3.944 20 C -0.133 4.133 21 C -0.134 4.134 22 C -0.508 4.508 23 H 0.059 0.941 24 C 0.067 3.933 25 N -0.884 5.884 26 Si 0.894 3.106 27 H -0.281 1.281 28 H -0.287 1.287 29 H -0.274 1.274 30 H 0.059 0.941 31 H 0.065 0.935 32 H 0.059 0.941 33 H 0.374 0.626 34 H 0.086 0.914 35 H 0.093 0.907 36 H 0.076 0.924 37 H 0.066 0.934 38 H 0.064 0.936 39 H 0.063 0.937 40 H 0.075 0.925 41 H 0.064 0.936 42 H 0.065 0.935 43 H 0.150 0.850 44 H 0.411 0.589 45 H 0.062 0.938 46 H 0.062 0.938 47 H 0.009 0.991 48 H 0.086 0.914 49 H 0.026 0.974 50 H 0.027 0.973 51 H 0.089 0.911 52 H 0.007 0.993 53 H 0.261 0.739 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.155 13.736 -16.229 21.664 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.238 4.238 2 C 0.032 3.968 3 H 0.113 0.887 4 O -0.373 6.373 5 C -0.180 4.180 6 C 0.044 3.956 7 H 0.099 0.901 8 C -0.170 4.170 9 C -0.159 4.159 10 C -0.173 4.173 11 C -0.058 4.058 12 N -0.313 5.313 13 C 0.291 3.709 14 O -0.396 6.396 15 C 0.275 3.725 16 O -0.407 6.407 17 N -0.327 5.327 18 C 0.005 3.995 19 C 0.056 3.944 20 C -0.191 4.191 21 C -0.192 4.192 22 C -0.546 4.546 23 H 0.077 0.923 24 C -0.135 4.135 25 N -0.522 5.522 26 Si 0.722 3.278 27 H -0.207 1.207 28 H -0.212 1.212 29 H -0.198 1.198 30 H 0.078 0.922 31 H 0.084 0.916 32 H 0.078 0.922 33 H 0.222 0.778 34 H 0.105 0.895 35 H 0.111 0.889 36 H 0.095 0.905 37 H 0.085 0.915 38 H 0.082 0.918 39 H 0.082 0.918 40 H 0.094 0.906 41 H 0.083 0.917 42 H 0.084 0.916 43 H 0.166 0.834 44 H 0.248 0.752 45 H 0.081 0.919 46 H 0.081 0.919 47 H 0.028 0.972 48 H 0.105 0.895 49 H 0.045 0.955 50 H 0.046 0.954 51 H 0.108 0.892 52 H 0.026 0.974 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges 4.399 14.162 -16.259 22.006 hybrid contribution -0.286 -0.915 0.854 1.284 sum 4.112 13.247 -15.405 20.729 Atomic orbital electron populations 1.22420 0.96347 1.02734 1.02343 1.22208 0.93133 0.96723 0.84769 0.88664 1.86535 1.80772 1.26696 1.43329 1.22930 0.93466 1.03420 0.98173 1.21357 0.95105 0.91928 0.87218 0.90117 1.22043 0.96549 0.95917 1.02528 1.21543 0.95624 1.00660 0.98050 1.21947 1.01544 0.95892 0.97948 1.23027 0.78825 0.97021 1.06960 1.48017 1.09592 1.47289 1.26425 1.20367 0.86367 0.80850 0.83312 1.90774 1.15087 1.64465 1.69267 1.20154 0.86949 0.81925 0.83481 1.90393 1.14732 1.62239 1.73372 1.46246 1.10945 1.46650 1.28885 1.21972 0.98650 0.92526 0.86328 1.18374 0.90357 0.92974 0.92722 1.21841 1.01154 0.96792 0.99326 1.21879 1.01920 0.98400 0.96978 1.20963 0.93088 1.29091 1.11479 0.92321 1.24882 0.94828 0.96101 0.97672 1.69804 1.01495 1.43955 1.36967 0.86546 0.78957 0.79642 0.82664 1.20739 1.21245 1.19848 0.92184 0.91575 0.92182 0.77844 0.89529 0.88912 0.90511 0.91500 0.91771 0.91804 0.90610 0.91674 0.91640 0.83369 0.75176 0.91946 0.91947 0.97176 0.89537 0.95495 0.95382 0.89202 0.97384 0.92923 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.18 -1.52 9.56 37.16 0.36 -1.16 16 2 C 0.09 0.81 3.40 -26.73 -0.09 0.72 16 3 H 0.10 0.81 6.42 -51.93 -0.33 0.47 16 4 O -0.57 -5.31 12.82 -35.23 -0.45 -5.76 16 5 C -0.14 -1.51 2.77 -26.73 -0.07 -1.58 16 6 C 0.15 1.53 2.90 -67.60 -0.20 1.34 16 7 H 0.08 0.84 7.75 -51.93 -0.40 0.44 16 8 C -0.13 -1.17 4.91 -26.61 -0.13 -1.30 16 9 C -0.12 -0.99 5.88 -26.69 -0.16 -1.15 16 10 C -0.14 -1.26 6.08 -26.61 -0.16 -1.42 16 11 C 0.06 0.72 6.04 -3.71 -0.02 0.70 16 12 N -0.58 -7.22 2.97 -165.73 -0.49 -7.71 16 13 C 0.51 7.59 7.66 -11.59 -0.09 7.50 16 14 O -0.52 -8.16 11.91 5.49 0.07 -8.09 16 15 C 0.49 8.33 7.76 -11.59 -0.09 8.24 16 16 O -0.53 -9.43 13.13 5.50 0.07 -9.36 16 17 N -0.68 -12.08 4.98 -60.73 -0.30 -12.39 16 18 C 0.13 2.57 4.50 -4.04 -0.02 2.55 16 19 C 0.06 1.28 0.50 -155.66 -0.08 1.20 16 20 C -0.13 -2.98 8.06 37.16 0.30 -2.68 16 21 C -0.13 -3.02 8.08 37.16 0.30 -2.72 16 22 C -0.51 -12.96 8.01 -34.44 -0.28 -13.23 16 23 H 0.06 1.50 7.75 -52.48 -0.41 1.09 16 24 C 0.07 1.72 5.12 -17.82 -0.09 1.63 16 25 N -0.88 -23.29 9.35 55.43 0.52 -22.77 16 26 Si 0.89 20.35 29.54 -169.99 -5.02 15.33 16 27 H -0.28 -6.41 7.11 56.52 0.40 -6.00 16 28 H -0.29 -6.54 7.11 56.52 0.40 -6.13 16 29 H -0.27 -6.21 7.11 56.52 0.40 -5.81 16 30 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 32 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 33 H 0.37 2.55 9.03 45.56 0.41 2.96 16 34 H 0.09 1.05 7.09 -51.93 -0.37 0.68 16 35 H 0.09 1.14 6.38 -51.93 -0.33 0.81 16 36 H 0.08 0.60 6.70 -51.93 -0.35 0.25 16 37 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 38 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 39 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 40 H 0.08 0.61 8.14 -51.93 -0.42 0.18 16 41 H 0.06 0.66 8.14 -51.93 -0.42 0.23 16 42 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 43 H 0.15 2.05 4.19 -55.43 -0.23 1.81 16 44 H 0.41 7.24 5.69 -40.82 -0.23 7.01 16 45 H 0.06 1.30 8.14 -51.93 -0.42 0.88 16 46 H 0.06 1.29 8.14 -51.93 -0.42 0.86 16 47 H 0.01 0.19 7.00 -51.93 -0.36 -0.17 16 48 H 0.09 2.15 6.04 -51.93 -0.31 1.83 16 49 H 0.03 0.58 8.14 -51.92 -0.42 0.16 16 50 H 0.03 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.09 2.24 5.99 -51.93 -0.31 1.93 16 52 H 0.01 0.15 6.86 -51.93 -0.36 -0.21 16 53 H 0.26 6.63 8.31 -40.82 -0.34 6.30 16 LS Contribution 398.31 15.07 6.00 6.00 Total: -1.00 -27.10 398.31 -8.35 -35.45 By element: Atomic # 1 Polarization: 18.87 SS G_CDS: -8.22 Total: 10.65 kcal Atomic # 6 Polarization: -0.84 SS G_CDS: -0.52 Total: -1.36 kcal Atomic # 7 Polarization: -42.59 SS G_CDS: -0.28 Total: -42.87 kcal Atomic # 8 Polarization: -22.89 SS G_CDS: -0.31 Total: -23.21 kcal Atomic # 14 Polarization: 20.35 SS G_CDS: -5.02 Total: 15.33 kcal Total LS contribution 6.00 Total: 6.00 kcal Total: -27.10 -8.35 -35.45 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC000422488446.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -77.051 kcal (2) G-P(sol) polarization free energy of solvation -27.102 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -104.153 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.349 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.451 kcal (6) G-S(sol) free energy of system = (1) + (5) -112.502 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds